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Finding the Fourth Proportional to 412,302.24, 617,870.16 and 175,406.40

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Solution

The fourth proportional to 412,302.24, 617,870.16 and 175,406.40 is: 262,861.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,302.24 : 617,870.16 = 175,406.40 : x
  2. Step 2: Convert to fraction form
    412,302.24/617,870.16 = 175,406.40/x
  3. Step 3: Cross multiply
    412,302.24x = 617,870.16 × 175,406.40
  4. Step 4: Simplify right side
    412,302.24x = 108,378,380,433.02
  5. Step 5: Solve for x
    x = 108,378,380,433.02/412,302.24
  6. Step 6: Final answer
    x = 262,861.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.